22002102211249 has 2 divisors, whose sum is σ = 22002102211250. Its totient is φ = 22002102211248.

The previous prime is 22002102211169. The next prime is 22002102211253. The reversal of 22002102211249 is 94211220120022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21968503321249 + 33598890000 = 4687057^2 + 183300^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002102211249 - 2⁷ = 22002102211121 is a prime.

It is not a weakly prime, because it can be changed into another prime (22002102211289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001051105624 + 11001051105625.

It is an arithmetic number, because the mean of its divisors is an integer number (11001051105625).

Almost surely, 2^{22002102211249} is an apocalyptic number.

It is an amenable number.

22002102211249 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002102211249 is an equidigital number, since it uses as much as digits as its factorization.

22002102211249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 22002102211249 in words is "twenty-two trillion, two billion, one hundred two million, two hundred eleven thousand, two hundred forty-nine".